The Complex
Plane;
DeMoivre's
Theorem
Remember a complex number has a real part and an
imaginary part. These are used to plot complex
numbers on a complex plane.
z x yi
z x y
2
Imaginary
Axis
2
z x yi
z
x
y
Real
Axis
The magnitude or modulus
of z denoted

The Complex
Plane;
DeMoivre's
Theorem
Remember a complex number has a real part and an
imaginary part. These are used to plot complex
numbers on a complex plane.
z x yi
2
z x y
Imaginary
Axis
z
x
2
z x yi
y
Real
Axis
The magnitude or modulus
of z denoted

Section 3
1
Definition of a function
A function is a rule which takes an element from a set
and maps it to a UNIQUE element in another set.
2
Function terminology
f maps R to Z
Domain
R
f
Z
Co-domain
f(4.3)
4
4.3
Pre-image of 4
Image of 4.3
3
More functi

Section 2
1
Introduction
Certain combinations of relation properties are very useful
We wont have a chance to see many applications in this course
In this set we will study equivalence relations
A relation that is reflexive, symmetric and transitive

Functions
Section 3
1
Definition of a function
A function is a rule which takes an element
from a set and maps it to a UNIQUE element
in another set.
2
Function terminology
f maps R to Z
Domain
R
f
Z
Co-domain
f(4.3)
4
4.3
Pre-image of 4
Image of 4.3
3
Mo

Set Theory
Section 1
1
Set Theory - Definitions and notation
A set is an unordered collection of objects referred to as
elements.
A set is said to contain its elements.
Different ways of describing a set.
1 Explicitly: listing the elements of a set
c

Equivalence Relations
Section 2
1
Introduction
Certain combinations of relation properties are
very useful
We wont have a chance to see many applications in this
course
In this set we will study equivalence relations
A relation that is reflexive, symmet

Section 1
1
Set Theory - Definitions and notation
A set is an unordered collection of objects referred to as elements.
A set is said to contain its elements.
Different ways of describing a set.
1 Explicitly: listing the elements of a set
cfw_1, 2, 3